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$For 1 \leq r \leq n, find the value of ^nC_r + ^{n-1}C_r + \cdots + ^rC_r..$

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$(1) 0222570 92 = 36 , n C _ { r } = 84 \text { and } n C _ { r + 1 } = 12..$

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$\begin{array}{l}{ }^{n} C_{r}=\frac{n}{r} \cdot{ }^{n-1} C_{r-1} \\\frac{..$

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$If ^nC_{r-1} = 36, ^nC_r = 84 and ^nC_{r+1} = 126, then the value of r is..$

If nCr1 36 nCr 84 and nCr1 126 then the value of r is

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Statement I Σ(r + 1).nCr for r is 0 to n = (n + 2)2^(n - 1) - Sarthaks ...

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$If { }^{n} C_{r}+{ }^{n} C_{r+1}={ }^{n+1} C_{x}, then x= ? (a) r-1 (b) r..$

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